Abstract
In 1972, Hudson [2] gave a method for the construction of pandiagonal magic squares of order 6t±1. In this paper we give the definition of pandiagonal Latin squares and the methods for the construction of self orthogonal pandiagonal Latin squares of order 4, 8, 9, 27 and prime p⩾5. One can use the technique of Kronecker products for the construction of self orthogonal pandiagonal Latin squares and pandiagonal magic squares of order n provided n ≠ 4t+2, 9t+3, 9t+6.
The project supported by Natural Science Foundation of Shanxi Province, China
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References
A.Hedayat, A Complete Solution to the Existence and Nonexistence of Knut Vik Designs and Orthogonal Knut Vik Designs, J. Combinatorial Theory(A) 22(1977), 331–337.
C.B.Hudson, On pandiagonal magic squares of order 6t±1, Math. Mag. 45(1972). 94–96.
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© 1995 Springer-Verlag Berlin Heidelberg
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Xu, CX., Lu, ZW. (1995). Pandiagonal magic squares. In: Du, DZ., Li, M. (eds) Computing and Combinatorics. COCOON 1995. Lecture Notes in Computer Science, vol 959. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0030856
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DOI: https://doi.org/10.1007/BFb0030856
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